SOLUTION: (please help, im new to this type of equation) Problem 2: Prove: If AB = 5x, BC = 2x –4, and AC = 52, then x = 8. Picture for problem 2: http://imgur.com/sKVczge Problem 3

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: (please help, im new to this type of equation) Problem 2: Prove: If AB = 5x, BC = 2x –4, and AC = 52, then x = 8. Picture for problem 2: http://imgur.com/sKVczge Problem 3      Log On

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Question 1089942: (please help, im new to this type of equation)
Problem 2:
Prove: If AB = 5x, BC = 2x –4, and AC = 52, then x = 8.
Picture for problem 2: http://imgur.com/sKVczge
Problem 3: Write a two-column proof.
Prove: If AB = CD, then AC = BD.
Picture for problem 3: http://imgur.com/J7Ao5dm
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2.
If AB+=+5x, BC+=+2x+%964, and AC+=+52, then x+=+8
from your image I see that
AC+=AB%2BBC+...substitute given values
52+=5x%2B2x-4
52%2B4+=7x
7x=56
x=56%2F7
x=8

3.
Write a two-column proof.
Prove: If AB+=+CD, then AC+=+BD
statement............................reason
1.AB+=+CD.............................given
2.AB%2BBC=AC............................segment addition postulate
3.BC%2BCD=BD............................segment addition postulate
4.AB%2BBC=BC%2BCD.........................substitution
5.AC+=+BD.............................subst. prop. of =